Answer:
±
,
Step-by-step explanation:
See the attached image
This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are: that correspond to the force of resistance on the mass by the action of the spring and that is an external force with unknown direction (that does not specify in the enounce).
For determinate we can use Hooke's Law given by the formula where correspond to the elastic constant of the spring and correspond to the relative displacement of the mass-spring system with respect of his rest state.
We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...
Now we apply Newton's 2nd Law and obtaint that...
± =
Finally... ±
We know from the problem that there's not initial displacement and initial velocity, so... and
Finally the Initial Value Problem that models the situation describe by the problem is
The graph is missing, so I am using a graph for a similar question.
It migh even be the same question, but the important thing is that I am going to explain you the situation in several sections of this diagram and so you will be able to work this kind of problems by your selfl.
The graph is attached (see the figure).
The graph shows the evolution of the
speed (vertical-axis) over time (horizontal-axis).In the
section A, the speed increases linearly: so the car is
speeding up uniformly (constant acceleration).
In the
section B, the line is horizontal which shows that the speed is constant. That is a
uniform motion.
In the
section C, the speed is decreasing uniformly, so the car is
slowing down with uniform negative acceleration.
So, for this graph, the answer is:
in the setion C. the car is slowing down (uniformly).
<u>Answer:</u>
The correct answer option is B. .
<u>Step-by-step explanation:</u>
The following is the formula that is used to find the sum of a geometric progession:
where is the sum, is the first term, is the common ratio while is the number of terms.
Answer:
0.08x = $5400-0.1x Add 0.1x to both sides of the equation.
0.18x = $5400 Divide both sides by 0.18
x = $3000 and $54000-$3000 = $24000
$3,000 is invested at 8%
$2,400 is invested at 10%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Complementary angles means the sum of the angles equals 90°.
Therefor m∠2=90-13=77°